Q: What are the factor combinations of the number 543,034,315?

 A:
Positive:   1 x 5430343155 x 10860686317 x 3194319543 x 1262870585 x 6388639215 x 2525741731 x 7428653655 x 148573
Negative: -1 x -543034315-5 x -108606863-17 x -31943195-43 x -12628705-85 x -6388639-215 x -2525741-731 x -742865-3655 x -148573


How do I find the factor combinations of the number 543,034,315?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 543,034,315, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 543,034,315
-1 -543,034,315

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 543,034,315.

Example:
1 x 543,034,315 = 543,034,315
and
-1 x -543,034,315 = 543,034,315
Notice both answers equal 543,034,315

With that explanation out of the way, let's continue. Next, we take the number 543,034,315 and divide it by 2:

543,034,315 ÷ 2 = 271,517,157.5

If the quotient is a whole number, then 2 and 271,517,157.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 543,034,315
-1 -543,034,315

Now, we try dividing 543,034,315 by 3:

543,034,315 ÷ 3 = 181,011,438.3333

If the quotient is a whole number, then 3 and 181,011,438.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 543,034,315
-1 -543,034,315

Let's try dividing by 4:

543,034,315 ÷ 4 = 135,758,578.75

If the quotient is a whole number, then 4 and 135,758,578.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 543,034,315
-1 543,034,315
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

151743852157313,655148,573742,8652,525,7416,388,63912,628,70531,943,195108,606,863543,034,315
-1-5-17-43-85-215-731-3,655-148,573-742,865-2,525,741-6,388,639-12,628,705-31,943,195-108,606,863-543,034,315

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